Modeling of joint deployment of units of the large-sized transformable reflector of space basing

The transformable designs of space basing are delivered into orbit in a folded state, which creates the task of their reliable disclosure. In this paper we propose to use an actuator in the form of electrical machines as the executive body. The use of this type of actuator allows controlling the process of deployment.
As a large-sized transformable structure we consider the space-based reflector. At present, the transfer of the machines from the folded state to the operation state is carried out by stages. The paper considers the joint implementation of two stages: the rotation of the root unit of the spoke and the extension of the intermediate unit. Mathematical models for rotational and translational motions are developed which take into account such parameters as bending and contraction of the spoke. Modeling and analysis of the results of different variants of the joint disclosure of the reflector elements are made: the use of the engine for each of the components of the motion and the use of centrifugal force for the extension of the spoke.
The application of the algorithm for correcting the control parameters is considered. One of the important advantages of the algorithm is the ability to carry control in real time. It can be used to calculate the reference control in algorithms based on the two-channel principle.